jika sin B = 1/2 dan B berada dikuadran 2 maka tan B ...

Bab Trigonometri
Matematika SMA Kelas X


Di kuadran II yg + hanya = sin dan csc

cos^2 b + sin^2 b = 1
cos^2 b + 1/4 = 1
cos^2 b = 1 - 1/4
cos^2 b = 3/4
cos b = V3 / 2
cos b = -1/2 V3

Tan b = sin b / cos b
Tan b = 1/2 / -1/2 V3
Tan b = 1/2 / -V3/2
Tan b = 1/2 x -2/V3
Tan b = -1 / V3
Tan b = -1 / V3 x V3 / V3
Tan b = -1/3 V3

Semoga membantu;)

sin B = 1/2
Sin B = sin 30°
Karena B di kuadran 2 maka B = (180° - 30°) = 150°

Tan B = Tan 150° = - Tan 30° = -1/3 √3